What is the Least Common Multiple of 63720 and 63738?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 63720 and 63738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63720 and 63738, than apply into the LCM equation.

GCF(63720,63738) = 18
LCM(63720,63738) = ( 63720 × 63738) / 18
LCM(63720,63738) = 4061385360 / 18
LCM(63720,63738) = 225632520

Least Common Multiple (LCM) of 63720 and 63738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63720 and 63738. First we will calculate the prime factors of 63720 and 63738.

Prime Factorization of 63720

Prime Factorization of 63738

Now multiplying the highest exponent prime factors to calculate the LCM of 63720 and 63738.

LCM(63720,63738) = 2³ × 3³ × 5¹ × 59¹ × 3541¹
LCM(63720,63738) = 225632520